If x^2 + kx + 6 = (x+n)(x + 3) for all values of x, where k and n are constants, what is the value of k?
A) 5
B) 3
C) 2
D) 1

A) 5

Step-by-step explanation:

We are given that:

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

Hence:

The coefficients of each term must be equivalent. In other words:

Solve for n:

Now, we can solve for k:

Our answer is A.

right

step-by-step explanation: